TSTP Solution File: RNG125+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : RNG125+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 20:48:30 EDT 2022
% Result : Theorem 0.60s 0.81s
% Output : Proof 0.60s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : RNG125+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon May 30 05:00:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.60/0.81 (* PROOF-FOUND *)
% 0.60/0.81 % SZS status Theorem
% 0.60/0.81 (* BEGIN-PROOF *)
% 0.60/0.81 % SZS output start Proof
% 0.60/0.81 Theorem m__ : False.
% 0.60/0.81 Proof.
% 0.60/0.81 assert (zenon_L1_ : (aSet0 (xI)) -> (aElementOf0 (xu) (xI)) -> (~(aElement0 (xu))) -> False).
% 0.60/0.81 do 0 intro. intros zenon_H32 zenon_H33 zenon_H34.
% 0.60/0.81 generalize (mEOfElem (xI)). zenon_intro zenon_H35.
% 0.60/0.81 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ].
% 0.60/0.81 exact (zenon_H37 zenon_H32).
% 0.60/0.81 generalize (zenon_H36 (xu)). zenon_intro zenon_H38.
% 0.60/0.81 apply (zenon_imply_s _ _ zenon_H38); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ].
% 0.60/0.81 exact (zenon_H3a zenon_H33).
% 0.60/0.81 exact (zenon_H34 zenon_H39).
% 0.60/0.81 (* end of lemma zenon_L1_ *)
% 0.60/0.81 apply (zenon_and_s _ _ m__2091). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 0.60/0.81 apply (zenon_and_s _ _ m__2174). zenon_intro zenon_H3e. zenon_intro zenon_H3d.
% 0.60/0.81 generalize (mDefIdeal (xI)). zenon_intro zenon_H3f.
% 0.60/0.81 apply (zenon_equiv_s _ _ zenon_H3f); [ zenon_intro zenon_H42; zenon_intro zenon_H41 | zenon_intro zenon_H3e; zenon_intro zenon_H40 ].
% 0.60/0.81 exact (zenon_H42 zenon_H3e).
% 0.60/0.81 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H32. zenon_intro zenon_H43.
% 0.60/0.81 apply (zenon_and_s _ _ m__2273). zenon_intro zenon_H33. zenon_intro zenon_H44.
% 0.60/0.81 apply m__2479. zenon_intro zenon_H45.
% 0.60/0.81 apply m__2612. zenon_intro zenon_H46.
% 0.60/0.81 apply (zenon_notand_s _ _ m__2383); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ].
% 0.60/0.81 generalize (mDefDvs (xa)). zenon_intro zenon_H49.
% 0.60/0.81 apply (zenon_imply_s _ _ zenon_H49); [ zenon_intro zenon_H4b | zenon_intro zenon_H4a ].
% 0.60/0.81 exact (zenon_H4b zenon_H3c).
% 0.60/0.81 generalize (zenon_H4a (xu)). zenon_intro zenon_H4c.
% 0.60/0.81 apply (zenon_equiv_s _ _ zenon_H4c); [ zenon_intro zenon_H48; zenon_intro zenon_H4f | zenon_intro zenon_H4e; zenon_intro zenon_H4d ].
% 0.60/0.81 apply (zenon_notand_s _ _ zenon_H4f); [ zenon_intro zenon_H34 | zenon_intro zenon_H50 ].
% 0.60/0.81 apply (zenon_L1_); trivial.
% 0.60/0.81 exact (zenon_H50 zenon_H45).
% 0.60/0.81 exact (zenon_H48 zenon_H4e).
% 0.60/0.81 generalize (mDefDvs (xb)). zenon_intro zenon_H51.
% 0.60/0.81 apply (zenon_imply_s _ _ zenon_H51); [ zenon_intro zenon_H53 | zenon_intro zenon_H52 ].
% 0.60/0.81 exact (zenon_H53 zenon_H3b).
% 0.60/0.81 generalize (zenon_H52 (xu)). zenon_intro zenon_H54.
% 0.60/0.81 apply (zenon_equiv_s _ _ zenon_H54); [ zenon_intro zenon_H47; zenon_intro zenon_H57 | zenon_intro zenon_H56; zenon_intro zenon_H55 ].
% 0.60/0.81 apply (zenon_notand_s _ _ zenon_H57); [ zenon_intro zenon_H34 | zenon_intro zenon_H58 ].
% 0.60/0.81 apply (zenon_L1_); trivial.
% 0.60/0.81 exact (zenon_H58 zenon_H46).
% 0.60/0.81 exact (zenon_H47 zenon_H56).
% 0.60/0.81 Qed.
% 0.60/0.81 % SZS output end Proof
% 0.60/0.81 (* END-PROOF *)
% 0.60/0.81 nodes searched: 3280
% 0.60/0.81 max branch formulas: 1141
% 0.60/0.81 proof nodes created: 131
% 0.60/0.81 formulas created: 26137
% 0.60/0.81
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